Note: When searchingfor a web calculator for the Wilcoxon-rank-sum test, please

Question

Note: When searchingfor a web calculator for the Wilcoxon-rank-sum test, please beaware that this test is also called the “Mann-Whitney Utest”. This test is used for Ordinal data and for anindependent groups design.

1.      A high school counselor wants toexamine whether the teenage pregnancy rate at her school isdifferent from the rate nationwide. She knows that the ratenationwide is 15 %. She randomly selects 80 female students fromher high school. She finds that 9 out of 80 students areeither pregnant now or have been pregnant previously.

a.       What statistical test shouldbe used to analyze the data?

b.      Identify H0 andHa for this study

c.       Conduct the appropriateanalysis

Explanation / Answer

a.       What statistical test shouldbe used to analyze the data?

          Z test

b.      Identify H0 andHa for this study

         Ho:p=0.15

        Ha:p not equal 0.15

c.       Conduct the appropriateanalysis

          Z=(phat-p)/p*(1-p)/n

           =(0.11-0.15)/sqrt(0.15*(1-0.15)/80)

           =-1

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